New simple model of dynamic hysteresis

Pini Gurfil, Bernard Friedland

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


Although the most commonly used hysteresis models are static, in some applications these models constitute an unacceptable simplification of physical behaviour. This includes ferro-magnetic hysteresis, plasticity and friction, which are dynamic phenomena. Consequently, this paper is aimed at presenting a new simple model of dynamic hysteresis, which is more appropriate for modelling of real-life hysteresis effects. The suggested model might be used as a building block for the development of various dynamic hysteresis models. It is proved that at low input rates, this model is closely related to static hysteresis, and it therefore constitutes a generic framework for modelling of hysteresis. Finally, it is shown that stability analysis of a closed-loop system containing simple dynamic hysteresis in feedback can be analysed in a straightforward manner using absolute stability theory.

Original languageEnglish (US)
Pages (from-to)202-216
Number of pages15
JournalTransactions of the Institute of Measurement & Control
Issue number3
StatePublished - Aug 2003

All Science Journal Classification (ASJC) codes

  • Instrumentation


  • absolute stability
  • describing function
  • dynamic model
  • hysteresis
  • nonlinear simulation


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